Solving Equations and Financial Terms

This video tutorial covers solving equations using illustrative mathematics for seventh graders. It begins with an introduction to solving equations using a hanger model, followed by a detailed solution to a specific problem. The video then explains how different parts of an equation are represented in a hanger model. It also describes various financial terms through real-life situations, such as interest, commission, and discount. The tutorial concludes with correcting a diagram to match an equation and a call to action for viewers to support the channel.

What equation can be derived from a hanger showing five groups of (2 + x) on one side and 11 on the other?

• 2x + 5 = 11

• 5x + 2 = 11

• 2 + 5x = 11

• 5(2 + x) = 11

After dividing both sides of the equation 5(2 + x) = 11 by 5, what is the next step to solve for x?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

In the hanger representation of the equation 9 = 3(x + 2), what does the number 9 represent?

• Three groups of x

• Nine groups of one

• Three groups of two

• Nine groups of x

Which financial term describes an extra 20% added to a restaurant bill for the server?

• Interest

• Commission

• Tip

• Markup

What is the term for the additional amount paid to the government when purchasing an item in Texas?

• Tax

• Discount

• Markup

• Commission

If a chair is bought for $200 and sold for $300, what financial term describes the $100 increase?

• Interest

• Commission

• Markup

• Discount

What mistake did Claire make in her diagram for the equation 2x + 16 = 50?

• She used 2 + x instead of 2 times x

• She added 16 instead of subtracting

• She subtracted 16 instead of adding

• She divided by 2 instead of multiplying

What is the correct value of x in the equation 2x + 16 = 50 after correcting Claire's mistake?

• x = 16

• x = 18

• x = 19

• x = 17

How should Claire's diagram be adjusted to correctly represent the equation 2x + 16 = 50?

• Divide both sides by 2

• Subtract 16 from both sides

• Use x twice instead of once

• Add 16 to both sides

What is the first step in solving the equation 2x + 16 = 50 using a diagram?

• Subtract 16 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 16 to both sides